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                                                                    Heat Transfer                                          165

                        Vaporization in Horizontal Shell; Natural Circulation  This is represented in Figures 10-98 and 10-99.

                           70
                       Kern deserves a lot of credit for developing design meth-  where
                     ods for many heat transfer situations and in particular the  k L   thermal conductivity of saturated liquid,
                     natural circulation phenomena as used for thermosiphon          Btu/hr (°F/ft)
                     reboilers and shown in part in Figures 10-96A—D.           c L   specific heat of liquid, Btu/lb (°F)
                                                                                  L   liquid, lb/ft 3
                       The horizontal natural circulation systems do not use a ket-
                                                                                   v   vapor, lb/ft 3
                     tle design exchanger, but rather a 1-2 (1 shell side, 2 tube-
                                                                                                             2
                                                                                     surface tension of liquid, Btu/ft ;
                     side passes) unit, with the vaporized liquid plus liquid not                        7        2
                                                                                     (dynes/cm)   (0.88   10 )   Btu/ft
                     vaporized circulating back to a distillation column bottoms   T   temperature difference   T w   T s , °R
                     vapor space or, for example, to a separate drum where the
                     vapor separates and flows back to the process system and
                     where liquid recirculates back along with make-up “feed” to
                     the inlet of the horizontal shell and tube reboiler. See Fig-
                     ures 10-96A—C.
                       A large portion of vaporization operations in industry are
                     handled in the horizontal kettle unit. The kettle design is
                     used to allow good vapor disengaging space above the boil-
                     ing surface on the shell side and to keep tubesheet and head
                     end connections as small as possible. Services include vapor-
                     izing (reboiling) distillation column bottoms for reintro-
                     ducing the vapor below the first tray, vaporizing refrigerant
                     in a closed system (chilling or condensing on the process
                     steam side), and boiling a process stream at constant pres-
                     sure. The tube side may be cooling or heating a fluid or con-
                     densation of a vapor.
                       Physically the main shell diameter should be about 40%
                     greater than that required for the tube bundle only. This
                     allows the disengaging action.
                       The kettle unit used in the reboiling service usually has an
                     internal weir to maintain a fixed liquid level and tube cov-
                     erage. The bottoms draw-off is from the weir section. The
                     reboiling handled in horizontal thermosiphon units omits
                     the disengaging space because the liquid-vapor mixture  Figure 10-98.  Levy correlation for boiling heat transfer equation.
                     should enter the distillation tower where disengaging takes  (Used by permission: Levy, S. ASME paper no. 58-HT-8, ©1958.
                     place. The chiller often keeps the kettle design but does not  American Society of Mechanical Engineers. All rights reserved.)
                     use the weir because no liquid bottoms draw off when a
                     refrigerant is vaporized.

                      Pool and Nucleate Boiling—General Correlation for Heat
                             Flux and Critical Temperature Difference

                           77
                       Levy presented a correlation showing good agreement
                     for pool boiling and nucleate boiling heat transfer flux
                     (Q b /A) below the critical   t for subcooled and vapor-
                     containing liquids. This covers the pressure range of sub- to
                     above-atmospheric and is obtained from data from the
                     inside and outside tube boiling.
                                    3
                               2
                      Q b  k L c L   L 1 T2 31   x4
                                                                 (10-139)
                      A       ¿T s 1  L    v 2B L
                                                                           Figure 10-99. Coefficient B L in Levy boiling heat transfer equation.
                     x = vapor quality of fluid = 0 for pool boiling and is a low fraction,  (Used by permission: Levy, S. ASME paper no. 58-HT-8, ©1958. Amer-
                        about 0.1 to 0.3, for most nucleate boiling        ican Society of Mechanical Engineers. All rights reserved.)
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